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Finding the Fourth Proportional to 1,058.92, 1,588.56 and 474.14

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Solution

The fourth proportional to 1,058.92, 1,588.56 and 474.14 is: 711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.92 : 1,588.56 = 474.14 : x
  2. Step 2: Convert to fraction form
    1,058.92/1,588.56 = 474.14/x
  3. Step 3: Cross multiply
    1,058.92x = 1,588.56 × 474.14
  4. Step 4: Simplify right side
    1,058.92x = 753,199.84
  5. Step 5: Solve for x
    x = 753,199.84/1,058.92
  6. Step 6: Final answer
    x = 711.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.